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Finding the Fourth Proportional to 306,533.94, 459,844.02 and 106,825.65

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Solution

The fourth proportional to 306,533.94, 459,844.02 and 106,825.65 is: 160,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,533.94 : 459,844.02 = 106,825.65 : x
  2. Step 2: Convert to fraction form
    306,533.94/459,844.02 = 106,825.65/x
  3. Step 3: Cross multiply
    306,533.94x = 459,844.02 × 106,825.65
  4. Step 4: Simplify right side
    306,533.94x = 49,123,136,335.11
  5. Step 5: Solve for x
    x = 49,123,136,335.11/306,533.94
  6. Step 6: Final answer
    x = 160,253.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.